Question

A, B and C, each working alone can complete a job in 6, 8 and 12 days respectively. If all three of them work together to complete a job and earn $ 2340, what will be C's share of the earnings?

Answer 1

C's share in earnings will be `$520`.

Explanation:

As A, B and C, each working alone complete a job in `6`, `8` and `12` days, respectively, they do `1/6`, `1/8` and `1/12` of the job in a day.

Hence they together do `1/6+1/8+1/12=4/24+3/24+2/24=9/24=3/8` of the job in one day or complete the job in `8/3=2 2/3` days.

Note that work done by them is in the ratio `1/6:1/8:1/12hArr4/24:3/24:2/24hArr4:3:2`.

As the work done by them is in the ratio of `4:3:2` (their sum is `4+3+2=9`),

C's share in earnings will be `$2340xx2/9=260cancel(2340)xx2/(1cancel9)=$520`.